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Simplifying -5 = 0.5(6x + -2) + 7x Reorder the terms: -5 = 0.5(-2 + 6x) + 7x -5 = (-2 * 0.5 + 6x * 0.5) + 7x -5 = (-1 + 3x) + 7x Combine like terms: 3x + 7x = 10x -5 = -1 + 10x Solving -5 = -1 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + -10x = -1 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -10x = -1 + 0 -5 + -10x = -1 Add '5' to each side of the equation. -5 + 5 + -10x = -1 + 5 Combine like terms: -5 + 5 = 0 0 + -10x = -1 + 5 -10x = -1 + 5 Combine like terms: -1 + 5 = 4 -10x = 4 Divide each side by '-10'. x = -0.4 Simplifying x = -0.4
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